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Finding the Fourth Proportional to 316,946.62, 475,475.29 and 139,449.01

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Solution

The fourth proportional to 316,946.62, 475,475.29 and 139,449.01 is: 209,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,946.62 : 475,475.29 = 139,449.01 : x
  2. Step 2: Convert to fraction form
    316,946.62/475,475.29 = 139,449.01/x
  3. Step 3: Cross multiply
    316,946.62x = 475,475.29 × 139,449.01
  4. Step 4: Simplify right side
    316,946.62x = 66,304,560,061.92
  5. Step 5: Solve for x
    x = 66,304,560,061.92/316,946.62
  6. Step 6: Final answer
    x = 209,197.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.